58168980 has 72 divisors (see below), whose sum is σ = 177080904. Its totient is φ = 15456000.

The previous prime is 58168969. The next prime is 58168991. The reversal of 58168980 is 8986185.

58168980 is a `hidden beast` number, since 581 + 68 + 9 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58168969) and next prime (58168991).

It can be written as a sum of positive squares in 4 ways, for example, as 10227204 + 47941776 = 3198^2 + 6924^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82630 + ... + 83330.

It is an arithmetic number, because the mean of its divisors is an integer number (2459457).

Almost surely, 2^58168980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58168980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88540452).

58168980 is an abundant number, since it is smaller than the sum of its proper divisors (118911924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58168980 is a wasteful number, since it uses less digits than its factorization.

58168980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 58168980 is about 7626.8591176185. The cubic root of 58168980 is about 387.4632195406.

The spelling of 58168980 in words is "fifty-eight million, one hundred sixty-eight thousand, nine hundred eighty".